13.2 Derivatives and Integrals of Vector Functions
| Week | Course Content | Course Video |
|---|---|---|
| 第十章 Parametric Equations and Polar Coordinates 10.3 Polar Coordinates | Watch Online | |
| 10.4 Areas and Lengths in Polar Coordinates | Watch Online | |
| 第十一章 Infinite Sequences and Series 11.1 Sequences (本影片07:08處 a3=0為正解，a3=-1為錯誤答案) | Watch Online | |
| 11.2 Series | Watch Online | |
| 11.3 The Integral Test and Estimates of Sums | Watch Online | |
| 11.4 The Comparison Tests | Watch Online | |
| 11.5 Alternating Series | Watch Online | |
| 11.6 Absolute Convergence and the Ratio and Root Tests | Watch Online | |
| 11.8 Power Series | Watch Online | |
| 11.9 Representations of Functions as Power Series | Watch Online | |
| 11.10 Taylor and Maclaurin Series | Watch Online | |
| 11.11 Applications of Taylor Polynomials | Watch Online | |
| 第十二章 Vectors and the Geometry of Space 12.2 Vectors | Watch Online | |
| 12.3 The Dot Product | Watch Online | |
| 12.4 The Cross Product | Watch Online | |
| 12.5 Equations of Lines and Planes | Watch Online | |
| 12.6 Cylinders and Quadratic Surface | Watch Online | |
| 第十三章 Vector Functions 13.1 Vector Functions and Space Curves | Watch Online | |
| 13.2 Derivatives and Integrals of Vector Functions | Watch Online | |
| 13.3 Arc Length and Curvature | Watch Online | |
| 14.1 Functions of Several Variables | Watch Online | |
| 14.2 Limits and Continuity | Watch Online | |
| 14.3 Partial Derivatives | Watch Online | |
| 14.4 Tangent Planes and Linear Approximation | Watch Online | |
| 14.5 The Chain Rule | Watch Online | |
| 14.6 Directional Derivatives and Gradient Vector | Watch Online | |
| 14.7 Maximum and Minimum Values | Watch Online | |
| 14.8 Lagrange Multipliers | Watch Online | |
| 15.1 Double Integrals over Rectangles | Watch Online | |
| 15.2 Iterated Integrals | Watch Online | |
| 15.3 Double Integrals over General Regions | Watch Online | |
| 15.4 Double Integrals in Polar Coordinates | Watch Online | |
| 15.5 Applications of Double Integrals | Watch Online | |
| 15.6 Surface Area | Watch Online | |
| 15.7 Triple Integrals | Watch Online | |
| 15.8 Triple Integrals in Cylindrical Coordinates | Watch Online | |
| 15.9 Triple Integrals in Spherical Coordinates | Watch Online | |
| 15.10 Change of Variables in Multiple Integrals | Watch Online | |
| Chapter16 : Vector Calculus 16.0 Introduction | Watch Online | |
| 16.1 Vector Fields | Watch Online | |
| 16.2 Line (Curve) Integrals | Watch Online | |
| 16.3 The Fundamental Theorem for Line Integrals | Watch Online | |
| 16.4 Green's Theorem (‘二維’的微積分基本定理) | Watch Online |
COURSE
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